Answer:
There would be 24 dimes and 76 quarters.
Step-by-step explanation:
In order to find this, start by defining the number of dimes by x and the number of quarters as y. Now we can create a system of equations. Make the first about the total number of coins.
x + y = 100
Make the second about the amount of money.
.10x + .25y = 21.40
Now we can solve using elimination by multiplying the second equation by -4 and adding through.
x + y = 100
-.40x - y = -85.60
-----------------------
.60x = 14.4
x = 24
Now we can use the amount of dimes we have to find the number of quarters.
x + y = 100
24 + y = 100
y = 76
Answer:

Step-by-step explanation:
Given:

To solve:
The given equation.
Solution:
First of all, let us consider an important property of sine and cosine.

OR

We can apply above property to solve for
as per given equation.

Changing
to sine form:



So, solution to the equation
is:

1,32 2,16, 4,8
That's all I got so it's 3
Sorry if I got it wrong or missed some
Answer:
<u> 105</u> students could prefer kiwi if there are 357 total students.
Step-by-step explanation:
Given:
The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.
Now, to find number of students prefer kiwi if there are 357 total students.
Let the students prefer pineapple be 
And the students prefer kiwi be 
Total students = 357.
So, we set an equation to get the number of students who prefer kiwi.
According to question:


<em>Dividing both sides by 17 we get:</em>

<em>Thus, students prefer kiwi are:</em>


Therefore, 105 students could prefer kiwi if there are 357 total students.